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Finding the Fourth Proportional to 385.76, 575.92 and 362.56

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Solution

The fourth proportional to 385.76, 575.92 and 362.56 is: 541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.76 : 575.92 = 362.56 : x
  2. Step 2: Convert to fraction form
    385.76/575.92 = 362.56/x
  3. Step 3: Cross multiply
    385.76x = 575.92 × 362.56
  4. Step 4: Simplify right side
    385.76x = 208,805.56
  5. Step 5: Solve for x
    x = 208,805.56/385.76
  6. Step 6: Final answer
    x = 541.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.